" I) "pT,(sin theta+cosec theta)^(2)+(cos theta+sec theta)^(2)=7+tan^(2)theta+cot^(2)theta

Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) theta).

If (sin theta+ cosec theta)^2+(cos theta+sec theta)^2=k+tan^2 theta+cot^2 theta , then the value of k is equal to:

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that : (sin theta + sec theta) ^(2) + (cos theta + cosec theta) ^(2) = (1 + sec theta cosec theta) ^(2).

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

Prove the following identity : (sin theta+ sec theta)^2 +(cos theta+ cosec theta)^2= (1+ sec theta cosec theta)^2 .